Relations between exceptional sets for additive problems

We describe a method for bounding the set of exceptional integers not represented by a given additive form in terms of the exceptional set corresponding to a subform. Illustrating our ideas with examples stemming from Waring's problem for cubes, we show, in particular, that the number of positive integers not exceeding N, that fail to have a representation as the sum of six cubes of natural numbers, is O(N^{3/7})

The prime k-tuplets in arithmetic progressions

This paper we discuss a problem on the distribution of prime multiplets in arithmetic prigressions. Before mentioning our problem we need to introduce the following notation. (In connection with our problem, see alsp the introduction of Balog\u27s tract [1] .) ..

Liposarcoma of stomach: report of a case

A report is made on a case of liposarcoma of stomach in a 42 year old man. This is the first case of liposarcoma of stomach reported in Japan. The patient has remained asymptomatic for five years after operation.</p

On the Waring–Goldbach Problem for Fourth and Fifth Powers

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135164/1/plms0001.pd

Preparation and a novel rearrangement reaction of 1, 2, 3, 4-tetrahydro-9-hydroxy-β-carboline, and their applications for the total synthesis of (±)-coerulescine

金沢大学大学院自然科学研究科生理活性物質科学金沢大学薬学部Novel 9-hydroxy-β-carboline derivatives were produced for the first time. A novel rearrangement reaction of 1, 2, 3, 4-tetrahydro-9-hydroxy-β-carbolines was discovered to give 3, 3-disubstituted oxindoles, which was successfully applied to the total synthesis of (±)-coerulescine

Identification of 45 New Neutron-Rich Isotopes Produced by In-Flight Fission of a 238U Beam at 345 MeV/nucleon

A search for new isotopes using in-flight fission of a 345 MeV/nucleon 238U beam has been carried out at the RI Beam Factory at the RIKEN Nishina Center. Fission fragments were analyzed and identified by using the superconducting in-flight separator BigRIPS. We observed 45 new neutron-rich isotopes: 71Mn, 73,74Fe, 76Co, 79Ni, 81,82Cu, 84,85Zn, 87Ga, 90Ge, 95Se, 98Br, 101Kr, 103Rb, 106,107Sr, 108,109Y, 111,112Zr, 114,115Nb, 115,116,117Mo, 119,120Tc, 121,122,123,124Ru, 123,124,125,126Rh, 127,128Pd, 133Cd, 138Sn, 140Sb, 143Te, 145I, 148Xe, and 152Ba

Transoral surgery for superficial head and neck cancer: National Multi‐Center Survey in Japan

Head and neck cancers, especially in hypopharynx and oropharynx, are often detected at advanced stage with poor prognosis. Narrow band imaging enables detection of superficial cancers and transoral surgery is performed with curative intent. However, pathological evaluation and real-world safety and clinical outcomes have not been clearly understood. The aim of this nationwide multicenter study was to investigate the safety and efficacy of transoral surgery for superficial head and neck cancer. We collected the patients with superficial head and neck squamous cell carcinoma who were treated by transoral surgery from 27 hospitals in Japan. Central pathology review was undertaken on all of the resected specimens. The primary objective was effectiveness of transoral surgery, and the secondary objective was safety including incidence and severity of adverse events. Among the 568 patients, a total of 662 lesions were primarily treated by 575 sessions of transoral surgery. The median tumor diameter was 12 mm (range 1–75) endoscopically. Among the lesions, 57.4% were diagnosed as squamous cell carcinoma in situ. The median procedure time was 48 minutes (range 2–357). Adverse events occurred in 12.7%. Life-threatening complications occurred in 0.5%, but there were no treatment-related deaths. During a median follow-up period of 46.1 months (range 1–113), the 3-year overall survival rate, relapse-free survival rate, cause-specific survival rate, and larynx-preservation survival rate were 88.1%, 84.4%, 99.6%, and 87.5%, respectively. Transoral surgery for superficial head and neck cancer offers effective minimally invasive treatment